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Finding the Fourth Proportional to 6,763.43, 10,145.72 and 1,766.46

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Solution

The fourth proportional to 6,763.43, 10,145.72 and 1,766.46 is: 2,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.43 : 10,145.72 = 1,766.46 : x
  2. Step 2: Convert to fraction form
    6,763.43/10,145.72 = 1,766.46/x
  3. Step 3: Cross multiply
    6,763.43x = 10,145.72 × 1,766.46
  4. Step 4: Simplify right side
    6,763.43x = 17,922,008.55
  5. Step 5: Solve for x
    x = 17,922,008.55/6,763.43
  6. Step 6: Final answer
    x = 2,649.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.